10 papers
Uniqueness, analyticity and mixing for Gibbs point processes via spectral gaps
Andreas Göbel, Matthew Jenssen, Marcus Michelen +3
A Gibbs point process models particles interacting in the continuum through a potential. Among the most classical examples is the hard-sphere model, where given an activity paramet…
A simple proof of rapid mixing on random regular graphs beyond uniqueness
Andreas Göbel, Matthew Jenssen, Marcus Michelen +3
A recent breakthrough of Chen, Chen, Chen, Yin, and Zhang shows rapid mixing for Glauber dynamics for the hard-core model on random regular graphs beyond the tree uniqueness thresh…
Information-Theoretic Thresholds for Bipartite Latent-Space Graphs under Noisy Observations
Andreas Göbel, Marcus Pappik, Leon Schiller
We study information-theoretic phase transitions for the detectability of latent geometry in bipartite random geometric graphs RGGs with Gaussian d-dimensional latent vectors while…
Polymer Dynamics via Cliques: New Conditions for Approximations
Tobias Friedrich, Andreas Göbel, Martin S. Krejca +1
Abstract polymer models are systems of weighted objects, called polymers, equipped with an incompatibility relation. An important quantity associated with such models is the partit…
Fast and Slow Mixing of the Kawasaki Dynamics on Bounded-Degree Graphs
Aiya Kuchukova, Marcus Pappik, Will Perkins +1
We study the worst-case mixing time of the global Kawasaki dynamics for the fixed-magnetization Ising model on the class of graphs of maximum degree . Proving a conjecture of C…
Simple analyticity criteria for repulsive multi-body potentials
Tyler Helmuth, Marcus Pappik, Will Perkins
We prove a simple, explicit lower bound on the radius of a zero-free disk for Gibbs point processes defined by finite-range, repulsive multi-body interactions. Our lower bound impr…